Esempio n. 1
0
int
elliptic(acb_ptr out, const acb_t inp, void * params, long order, long prec)
{
    acb_ptr t;
    t = _acb_vec_init(order);
    acb_set(t, inp);
    if (order > 1)
        acb_one(t + 1);
    _acb_poly_sin_series(t, t, FLINT_MIN(2, order), order, prec);
    _acb_poly_mullow(out, t, order, t, order, order, prec);
    _acb_vec_scalar_mul_2exp_si(t, out, order, -1);
    acb_sub_ui(t, t, 1, prec);
    _acb_vec_neg(t, t, order);
    _acb_poly_rsqrt_series(out, t, order, order, prec);
    _acb_vec_clear(t, order);
    return 0;
}
Esempio n. 2
0
void
_acb_poly_sqrt_series(acb_ptr g,
    acb_srcptr h, slong hlen, slong len, slong prec)
{
    hlen = FLINT_MIN(hlen, len);

    while (hlen > 0 && acb_is_zero(h + hlen - 1))
        hlen--;

    if (hlen <= 1)
    {
        acb_sqrt(g, h, prec);
        _acb_vec_zero(g + 1, len - 1);
    }
    else if (len == 2)
    {
        acb_sqrt(g, h, prec);
        acb_div(g + 1, h + 1, h, prec);
        acb_mul(g + 1, g + 1, g, prec);
        acb_mul_2exp_si(g + 1, g + 1, -1);
    }
    else if (_acb_vec_is_zero(h + 1, hlen - 2))
    {
        acb_t t;
        acb_init(t);
        arf_set_si_2exp_si(arb_midref(acb_realref(t)), 1, -1);
        _acb_poly_binomial_pow_acb_series(g, h, hlen, t, len, prec);
        acb_clear(t);
    }
    else
    {
        acb_ptr t;
        t = _acb_vec_init(len);
        _acb_poly_rsqrt_series(t, h, hlen, len, prec);
        _acb_poly_mullow(g, t, len, h, hlen, len, prec);
        _acb_vec_clear(t, len);
    }
}